Defining parameters
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.c (of order \(3\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 19 \) |
Character field: | \(\Q(\zeta_{3})\) | ||
Sturm bound: | \(570\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(722, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 990 | 286 | 704 |
Cusp forms | 910 | 286 | 624 |
Eisenstein series | 80 | 0 | 80 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(722, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(722, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(722, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(19, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(38, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(361, [\chi])\)\(^{\oplus 2}\)